Help! I Greatly appreciated it.

Answer:

Each side is 10 inches because the perimeter is 80 inches, you will have to divide 80 by 8 because octagon is a shape with 8 sides. So 80 divided by 8 is 10..... So the answeer is 10 inches.

Step-by-step explanation:

80÷8=10

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The ratio of children to the total number of people at the playground is 3:5

Calculation

Based on the given situation

there are 24 children and 16 adults at the playground

so the ratio of children to the total number of people on the ground

⇒ no. of children/(no. of children= no. of people in the ground)

⇒24/(24+16) == 24/40 = 3/5

Therefore, the ratio of children to total people is 3:5.

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Answer:

120 in

Step-by-step explanation:

If the angles are ∠1 = 2x + 4 and ∠2 = 3x - 3, then m∠TRS =  36°.

What is an angle?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The measure of ∠1 = 2x + 4

The measure of ∠2 = 3x - 3

The measure of ∠TRS is -

∠TRS = ∠1 + ∠2

Since, PR is a bisector then ∠1 = ∠2.

The equation is -

2x + 4 = 3x - 3

2x - 3x = - 3 - 4

-x = -7

x = 7

Substitute the value of x in the angles -

∠1 = 2(7) + 4

∠1 = 14 + 4

∠1 = 18°

∠2 = 3(7) - 3

∠2 = 21 - 3

∠2 = 18°

So, the value of ∠TRS is -

∠1 + ∠2

18° + 18°

36°

Therefore, the measure of ∠TRS is 36°.

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The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

To determine if the function f(x) = (x+3)/(x²-9) is continuous at x=3, we need to check if the limit of the function exists as x approaches 3 from both the left and the right, and whether this limit is equal to the value of the function at x=3.

First, we can check the limit as x approaches 3 from the left:

lim x→3- f(x) = lim x→3- (x+3)/(x²-9) = (-3)/(0-) = ∞

Next, we can check the limit as x approaches 3 from the right:

lim x→3+ f(x) = lim x→3+ (x+3)/(x²-9) = (6)/(0+) = ∞

Since both one-sided limits are infinite, the limit as x approaches 3 does not exist.

Therefore, the function f(x) = (x+3)/(x²-9) is not continuous at x=3.

The correct answer is (d) No, it is not continuous because lim x→3 f(x) ≠ lim x→3 f(x).

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Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

4500 pages

Step-by-step explanation:

an hour has 60 minutes. This means in 1 hour the machine will scan 60/15 more pages. 60/15 =4.

1125*4 =4500 pages/hour

In one hour the machine will scan 4500 pages.

Given is that a machine takes 15 minutes to scan 1,125 pages.

The machine takes 15 minutes to scan 1,125 pages.

Then, in 1 minute, it will scan (1125/15) = 75 pages.

So, in 1 hour, it will scan -

x = 75 x 60

x = 4500

Therefore, in one hour the machine will scan 4500 pages.

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Answer:

5 + ( b + 2)

5 + b + 2

5 + 2 + b

7 + b

Answer

2890

Step-by-step explanation:

2,890 meters^2 is grass

Step-by-step explanation:

First find the area of the garden

Area of a rectangle can be found using:

a=lw

a=85*50

a=4,250 meters^2

We know that 32% of the area is flowers, so we can multiply 32% and 4250

32%*4250

Convert 32% to a decimal by dividing by 100

32%/100=0.32

0.32*4250=1360

So, 1360 meters^2 is flowers.

The rest must be grass, so we can find the difference between the total area and the flowers

4250-1360=2890

Answer:

1/2

Step-by-step explanation:

5+n=7-3n

add and subtract

4n=2

divide

n=1/2

The value of the number x will be 1/2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

If 5 is added to a number, the result is 7 less than 3 times the number. Then convert the statement into a mathematical equation.

Let x be the number. Then we have

x + 5 = 7 - 3x

Simplify the equation, then the value of x will be

x + 5 = 7 - 3x

x + 3x = 7 - 5

4x = 2

x = 2/ 4

x = 1/2

The value of the number x will be 1/2.

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the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.

(a) The probability that a woman selected at random has blood pressures greater than 136.

\(P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})\)

                  \(=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485\)

(b) The probability that a woman selected at random has a blood pressure less than 114.

\(P(x < 114)= P(z < \dfrac{114-121}{9})\\\\\)

                  \(= P(z < -0.77)\\\\= 0.2206\)

(c) The probability that a woman selected at random has a blood pressure between 114 and 128.

\(P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\\)

                  \(= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588\)

Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

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The height of the wall where the ladder reaches will be 23.6 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.

The height of the wall where the ladder reaches is given as,

\(\text{sin 80}^\circ \sf =\dfrac{h}{24}\)

\(\sf h = 24 \times \text{sin 80}^\circ\)

\(\sf = 24 \times \text{0.9848}\)

\(\sf h = 23.63\thickapprox\bold{23.6 \ feet}\)

The height of the wall where the ladder reaches will be 23.6 feet.

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Answer:

a = 26

a ~ 21.8

Read explanation

Step-by-step explanation:

There are two possibilities;

\(a^{2}+c^{2}=b^{2}\)

Or

\(b^{2}+c^{2}=a^{2}\)

This is because one doesn't know the longest side, and hence there are two possibilities as to what the longest side is.

1. \(a^{2}+c^{2}=b^{2}\)

Substitute in the given values;

\(a^{2}+(10)^{2}=(24)^{2}\)

\(a^{2}+100=576\)

\(a^{2}=476\)

a=\(\sqrt{476}\)

a~21.8

2.\(b^{2}+c^{2}=a^{2}\)

Substitute in the given values;

\((24)^{2}+(10)^{2}=a^{2}\)

\(576+100=a^{2}\)

\(676=a^{2}\)

\(26=a\)

The simplified expression (-3 + 2³)(4 + (-42/7)) is equal to -10. The expression evaluates to -10 when the given values are substituted and the operations are performed.

To simplify the expression (-3 + 2³)(4 + (-42/7)), we can start by simplifying the values within the parentheses separately and then multiplying the results.

First, let's simplify the value inside the first set of parentheses, (-3 + 2³):

-3 + 2³ = -3 + 8 = 5

Now, let's simplify the value inside the second set of parentheses, (4 + (-42/7)):

4 + (-42/7) = 4 - 6 = -2

Now, we have the simplified values for both sets of parentheses: 5 and -2.

Next, we can multiply these two values together:

5 * (-2) = -10

Therefore, the simplified expression (-3 + 2³)(4 + (-42/7)) is equal to -10.

In summary, (-3 + 2³)(4 + (-42/7)) simplifies to -10. This means that the expression evaluates to -10 when the given values are substituted and the operations are performed.

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By moving from P0(2,2,6) a distance of ds = .1 units in the direction of 3i+6j-2k, the function f(x,y,z) will change by approximately 1.86.

To find the change in f, we need to calculate the gradient of f at P0, which is given by ∇f = <2x, 2y, 3z>. Plugging in P0, we get ∇f(P0) = <4, 4, 18>.

Next, we need to find the unit vector in the direction of 3i + 6j - 2k, which is given by u = <3/7, 6/7, -2/7>.

The change in f in the direction of u is given by Δf = ∇f(P0) · u · ds, where · denotes the dot product. Plugging in the values, we get Δf ≈ 1.86.

Therefore, by moving from P0(2,2,6) a distance of ds = .1 units in the direction of 3i+6j-2k, the function f(x,y,z) will change by approximately 1.86.

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The future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

The formula to use in this case is FV = PV(1 + r/n)^nt, where FV is the future value, PV is the present value, r is the nominal interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given the information in the problem, we know that:

PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

Thus, the future value of the $600 invested semi-annually at 8% nominal interest rate for 4 years is $1369.44 rounded to the nearest cent.

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PV = $600 (the present value)

r = 0.08 (the nominal interest rate as a decimal)

n = 2 (the interest is compounded semi-annually)

t = 4 (the number of years)

Plugging these values into the formula, we get:

FV = $600(1 + 0.08/2)^(2*4)

To solve for FV, we need to calculate (1 + 0.08/2)^(2*4)

= (1.04)^8

=2.2824

FV = $600*2.2824

FV = $1369.44

The town of Lantana still needs to raise $1,496 for the new playground.

To find out how much more money the town of Lantana needs to raise for a new playground, you need to add up the amount of money each school has raised and subtract that total from the total cost of the playground.So:

Total amount raised = $5,538 + $2,834 + $4,132

Total amount raised = $12,504

To find how much more is needed, you subtract the total amount raised from the total amount needed:

Total amount needed - Total amount raised = $14,000 - $12,504

= $1,496

So the town of Lantana still needs to raise $1,496 for the new playground.

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Answer:

w = 2

Step-by-step explanation:

After solving the equation, the value obtained for w will be equal to 2.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data in the question,

The equation given in the question,

w + 1/2 = 1/4w + 2

Add similar terms,

w - 1/4w = 2 - 1/2

(4w - w)/4 = (4 - 1)/2

3w/4 = 3/2

w = 12/6

w = 2

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Answer:10

Step-by-step explanation:

Answer:

$37.50

Step-by-step explanation:

75% of $50:

0.75x50=$37.50

The horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

To determine the horizontal asymptote of a function, we need to examine the behavior of the function as x approaches positive or negative infinity. In this case, as x becomes very large or very small, the terms involving x-2 and x-3 become insignificant compared to the higher power of (x-3) squared in the denominator.

As x approaches positive or negative infinity, the (x - 2) term in the numerator does not affect the overall behavior of the function. However, the (x - 3)^2 term in the denominator becomes dominant.

Since (x - 3)^2 will always be positive, the function is always positive or zero. Therefore, as x approaches positive or negative infinity, the function approaches zero or a positive value but never crosses the horizontal line y = 0. Hence, the horizontal asymptote of the function f(x) = (x - 2)/(x - 3)^2 is y = 0.

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Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

3 3/4 divided by 5/12 equals 9

hope this helps :)

Answer:

3

Step-by-step explanation:

HJ = 9 and IJ = 6.

HJ = HI + IJ

9 = HI + 6

HI = 9-6=3

Answer:

1.Write 128 separately and divide it by 16.

2.Use the quotient as the dividend of the next step.

3.Multiply 04 by 16 until a recurring pattern occurs or until you get 0 as the remainder.

4.After converting the digits to the left and right of the decimal point, combine the hexadecimal values.

5.On getting a recurring number 0 as the remainder, write the digits in the remainder in reverse order.

Answer:  

1. Write 128 separately and divide it by 16

2. Use the quotient as a dividend of the next step

3. On getting a recurring number or 0 as the remainder, write the digits in the remainder in reverse order.

4. Multiply .04 by 16 until a recurring pattern occurs or until you get 0 as the remainder.

5. After converting the digits to the left and right of the decimal point, combine the hexadecimal values.

Step-by-step explanation:

I took the test and got it right, hope this could help!

The angle of elevation from Michael to the kite is 40 degrees

We have six different trigonometric ratios, they are;

From the information given, we have that;

The opposite side of the angle = 56 feet(that is, the height of the kite)

The adjacent side of the angle = 68 feet(that is the distance)

Using the tangent identity states as;

tan θ = opposite/adjacent

substitute the values, we get;

tan θ = 56/68

divide the values

tan θ = 0. 8235

Find the inverse

θ = 40 degrees

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The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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Answer:

25 girls

Step-by-step explanation:

We Know

The ratio of boys to girls is 4:5. For every 4 boys, there are 5 girls.

To get from 4 to 20, we multiply by 5.

We Take

5 x 5 = 25 girls

So, there are 25 girls in class.

Answer: 25 girls are in the class

Step-by-step explanation: You can set up the ratio 4:5 as a fraction, \(\frac{4}{5}\) to find your answer. You are given the fact that 20 boys are in the class so now you can solve 2 ways.

Option 1 - Set up the equation algebraically as \(\frac{20}{x}\), where x = number of girls and set that equal to \(\frac{4}{5}\). This way allows you to see that the fraction must have the same ratio as 4:5. You can see that 4 x 5 = 20, so the multiple factor is 5. The variable x must equal 5 x 5, so x = 25.

Option 2 - Multiply the amount of boys given to you by the reciprocal of the ratio. Instead of using \(\frac{4}{5}\), you have to use \(\frac{5}{4}\) because there are more girls than boys in the class. This allows you to finish the problem by multiplying 20 x \(\frac{5}{4}\) to get the result of \(\frac{100}{4}\), which you may know simplifies into 25.

Answer:

its C

Step-by-step explanation:

Answer:

#1 is A   #2 is C   #3 is D   #4 is D   #5 is D   #6 is A

Step-by-step explanation:

I might be wrong for number 5 or the others but hope this works for you.

:)